Adaptive Backstepping Control Design for Uncertain Rigid Spacecraft With Both Input and Output Constraints

In this paper, a barrier Lyapunov function (BLF)-based backstepping control design is proposed for uncertain rigid spacecraft with both input and output constraints. A modified BLF (MBLF) is constructed to extend the application scope of the traditional logarithmic BLF. Through using the MBLFs in each step of the backstepping design, an adaptive constrained control scheme is presented to guarantee the tracking performance and the constraint requirement of spacecraft systems, and the differentiation of the virtual control is avoided with the employment of the tracking differentiator. The uncertainty bounds are estimated by designing adaptive update laws, such that no prior knowledge is required on the bound of the lumped uncertainty including input saturation and faults. Numerical simulations demonstrate the effectiveness of the proposed scheme.

[1]  Bo Li,et al.  Robust Attitude Control Design for Spacecraft under Assigned Velocity and Control Constraints , 2012, ICIRA.

[2]  Qinglei Hu.  Robust adaptive backstepping attitude and vibration control with L2-gain performance for flexible spacecraft under angular velocity constraint , 2009 .

[3]  Yuanqing Xia,et al.  Fuzzy Adaptive Fault-Tolerant Output Feedback Attitude-Tracking Control of Rigid Spacecraft , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[4]  R. Mehra,et al.  Robust Adaptive Variable Structure Control of Spacecraft Under Control Input Saturation , 2001 .

[5]  B. P. Ickes,et al.  A new method for performing digital control system attitude computations using quaternions , 1968 .

[6]  Shaocheng Tong,et al.  Barrier Lyapunov Functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints , 2016, Autom..

[7]  Qinglei Hu,et al.  Unified attitude control for spacecraft under velocity and control constraints , 2017 .

[8]  Keng Peng Tee,et al.  Control of nonlinear systems with time-varying output constraints , 2009, 2009 IEEE International Conference on Control and Automation.

[9]  Marcel J. Sidi,et al.  Spacecraft Dynamics and Control: A Practical Engineering Approach , 1997 .

[10]  Charalampos P. Bechlioulis,et al.  Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance , 2008, IEEE Transactions on Automatic Control.

[11]  Bin Jiang,et al.  Guaranteed transient performance based control with input saturation for near space vehicles , 2014, Science China Information Sciences.

[12]  Lei Ma,et al.  Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints , 2018, Complex..

[13]  Jongrae Kim,et al.  Engineering Notes Backstepping Control Design with Actuator Torque Bound for Spacecraft Attitude Maneuver , 2010 .

[14]  Qiang Chen,et al.  Adaptive echo state network control for a class of pure-feedback systems with input and output constraints , 2018, Neurocomputing.

[15]  Jing Na,et al.  Extended-State-Observer-Based Funnel Control for Nonlinear Servomechanisms With Prescribed Tracking Performance , 2017, IEEE Transactions on Automation Science and Engineering.

[16]  Zongxia Jiao,et al.  Adaptive Backstepping Control of Spacecraft Rendezvous and Proximity Operations With Input Saturation and Full-State Constraint , 2017, IEEE Transactions on Industrial Electronics.

[17]  Yuanqing Xia,et al.  Finite-Time Attitude Control for Rigid Spacecraft Based on Adaptive Super-Twisting Algorithm , 2014, Finite Time and Cooperative Control of Flight Vehicles.

[18]  Shuzhi Sam Ge,et al.  Adaptive Neural Network Control of a Robotic Manipulator With Time-Varying Output Constraints , 2017, IEEE Transactions on Cybernetics.

[19]  Yuanqing Xia,et al.  Adaptive attitude tracking control for rigid spacecraft with finite-time convergence , 2013, Autom..

[20]  Chun-Yi Su,et al.  Neural Control of Bimanual Robots With Guaranteed Global Stability and Motion Precision , 2017, IEEE Transactions on Industrial Informatics.

[21]  Bao-Zhu Guo,et al.  On convergence of tracking differentiator and application to frequency estimation of sinusoidal signals , 2011, 2011 8th Asian Control Conference (ASCC).

[22]  Jing Na,et al.  RISE-Based Asymptotic Prescribed Performance Tracking Control of Nonlinear Servo Mechanisms , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[23]  Krishna Dev Kumar,et al.  Robust attitude stabilization of spacecraft subject to actuator failures , 2011 .

[24]  Yu Guo,et al.  Adaptive Prescribed Performance Motion Control of Servo Mechanisms with Friction Compensation , 2014, IEEE Transactions on Industrial Electronics.

[25]  Qiang Chen,et al.  Finite-time neural funnel control for motor servo systems with unknown input constraint , 2017, J. Syst. Sci. Complex..

[26]  Timo Reis,et al.  Funnel control for nonlinear systems with known strict relative degree , 2018, Autom..

[27]  Yuanqing Xia,et al.  Adaptive Sliding Mode Control for Attitude Stabilization With Actuator Saturation , 2011, IEEE Transactions on Industrial Electronics.

[28]  Francis Eng Hock Tay,et al.  Barrier Lyapunov Functions for the control of output-constrained nonlinear systems , 2009, Autom..

[29]  Mingxuan Sun,et al.  Adaptive Nonsingular Fixed-Time Attitude Stabilization of Uncertain Spacecraft , 2018, IEEE Transactions on Aerospace and Electronic Systems.

[30]  Charalampos P. Bechlioulis,et al.  Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems , 2009, Autom..

[31]  Jian-Xin Xu,et al.  State-Constrained Iterative Learning Control for a Class Of MIMO Systems , 2013, IEEE Transactions on Automatic Control.

[32]  Wenchuan Cai,et al.  Indirect Robust Adaptive Fault -Tolerant Control for Attitude Tracking of Spacecraft , 2008 .

[33]  Shaocheng Tong,et al.  Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems , 2017, Autom..

[34]  Zhongke Shi,et al.  Barrier Lyapunov Function Based Learning Control of Hypersonic Flight Vehicle With AOA Constraint and Actuator Faults , 2019, IEEE Transactions on Cybernetics.

[35]  R. Mehra,et al.  Robust Tracking Control Design for Spacecraft Under Control Input Saturation , 2004 .

[36]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[37]  R. Mahony,et al.  Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[38]  Lei Guo,et al.  Adaptive Fault-Tolerant Attitude Tracking Control of Spacecraft With Prescribed Performance , 2017, IEEE/ASME Transactions on Mechatronics.

[39]  Guido Herrmann,et al.  Active Adaptive Estimation and Control for Vehicle Suspensions With Prescribed Performance , 2018, IEEE Transactions on Control Systems Technology.